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Finding the Fourth Proportional to 4,532.82, 6,797.88 and 1,610.46

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Solution

The fourth proportional to 4,532.82, 6,797.88 and 1,610.46 is: 2,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.82 : 6,797.88 = 1,610.46 : x
  2. Step 2: Convert to fraction form
    4,532.82/6,797.88 = 1,610.46/x
  3. Step 3: Cross multiply
    4,532.82x = 6,797.88 × 1,610.46
  4. Step 4: Simplify right side
    4,532.82x = 10,947,713.82
  5. Step 5: Solve for x
    x = 10,947,713.82/4,532.82
  6. Step 6: Final answer
    x = 2,415.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.